Angle of Oblique Plane using Shear Stress and Axial Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Theta = (arsin(((2*Shear Stress on Oblique Plane)/Stress along y Direction)))/2
θ = (arsin(((2*τθ)/σy)))/2
This formula uses 2 Functions, 3 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
arsin - Arcsine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., arsin(Number)
Variables Used
Theta - (Measured in Radian) - The Theta is the angle subtended by a plane of a body when stress is applied.
Shear Stress on Oblique Plane - (Measured in Pascal) - The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle.
Stress along y Direction - (Measured in Pascal) - The Stress along y Direction can be described as axial stress along the given direction.
STEP 1: Convert Input(s) to Base Unit
Shear Stress on Oblique Plane: 28.145 Megapascal --> 28145000 Pascal (Check conversion ​here)
Stress along y Direction: 110 Megapascal --> 110000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = (arsin(((2*τθ)/σy)))/2 --> (arsin(((2*28145000)/110000000)))/2
Evaluating ... ...
θ = 0.268597018934037
STEP 3: Convert Result to Output's Unit
0.268597018934037 Radian -->15.3894755747187 Degree (Check conversion ​here)
FINAL ANSWER
15.3894755747187 15.38948 Degree <-- Theta
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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NSS College of Engineering (NSSCE), Palakkad
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Stresses of Members Subjected to Axial Loading Calculators

Angle of Oblique plane when Member Subjected to Axial Loading
​ LaTeX ​ Go Theta = (acos(Normal Stress on Oblique Plane/Stress along y Direction))/2
Shear Stress when Member Subjected to Axial Load
​ LaTeX ​ Go Shear Stress on Oblique Plane = 0.5*Stress along y Direction*sin(2*Theta)
Stress along Y-direction when Member Subjected to Axial Load
​ LaTeX ​ Go Stress along y Direction = Normal Stress on Oblique Plane/(cos(2*Theta))
Normal Stress when Member Subjected to Axial Load
​ LaTeX ​ Go Normal Stress on Oblique Plane = Stress along y Direction*cos(2*Theta)

Angle of Oblique Plane using Shear Stress and Axial Load Formula

​LaTeX ​Go
Theta = (arsin(((2*Shear Stress on Oblique Plane)/Stress along y Direction)))/2
θ = (arsin(((2*τθ)/σy)))/2

What is Principal Stress?

The Principal Stress is the maximum normal stress a body can have at its some point. It represents purely normal stress. If at some point principal stress is said to have acted it does not have any shear stress component.

How to Calculate Angle of Oblique Plane using Shear Stress and Axial Load?

Angle of Oblique Plane using Shear Stress and Axial Load calculator uses Theta = (arsin(((2*Shear Stress on Oblique Plane)/Stress along y Direction)))/2 to calculate the Theta, The Angle of Oblique Plane using Shear Stress and Axial Load formula is defined as the angle between the plane and the vertical line. Theta is denoted by θ symbol.

How to calculate Angle of Oblique Plane using Shear Stress and Axial Load using this online calculator? To use this online calculator for Angle of Oblique Plane using Shear Stress and Axial Load, enter Shear Stress on Oblique Plane θ) & Stress along y Direction y) and hit the calculate button. Here is how the Angle of Oblique Plane using Shear Stress and Axial Load calculation can be explained with given input values -> 881.752 = (arsin(((2*28145000)/110000000)))/2.

FAQ

What is Angle of Oblique Plane using Shear Stress and Axial Load?
The Angle of Oblique Plane using Shear Stress and Axial Load formula is defined as the angle between the plane and the vertical line and is represented as θ = (arsin(((2*τθ)/σy)))/2 or Theta = (arsin(((2*Shear Stress on Oblique Plane)/Stress along y Direction)))/2. The Shear Stress on Oblique Plane is the shear stress experienced by a body at any θ angle & The Stress along y Direction can be described as axial stress along the given direction.
How to calculate Angle of Oblique Plane using Shear Stress and Axial Load?
The Angle of Oblique Plane using Shear Stress and Axial Load formula is defined as the angle between the plane and the vertical line is calculated using Theta = (arsin(((2*Shear Stress on Oblique Plane)/Stress along y Direction)))/2. To calculate Angle of Oblique Plane using Shear Stress and Axial Load, you need Shear Stress on Oblique Plane θ) & Stress along y Direction y). With our tool, you need to enter the respective value for Shear Stress on Oblique Plane & Stress along y Direction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Theta?
In this formula, Theta uses Shear Stress on Oblique Plane & Stress along y Direction. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Theta = (acos(Normal Stress on Oblique Plane/Stress along y Direction))/2
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